Strictly transversal slices to conjugacy classes in algebraic groups
classification
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conjugacyalgebraicclassestransversalcharacteristicclasscodimconnected
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We show that for every conjugacy class O in a connected semisimple algebraic group G over a field of characteristic good for G one can find a special transversal slice S to the set of conjugacy classes in G such that O intersects S and dim O = codim S.
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